Scheduling Puzzle: Day E Plays
We need to determine the day E plays the game based on the given schedule constraints.
Step 1: Establish the Weekly Schedule Framework
The game is played over 7 days, from Monday to Sunday.
- Monday
- Tuesday
- Wednesday
- Thursday
- Friday
- Saturday
- Sunday
Step 2: Place C and Deduce B's Day
We know C plays on Friday.
There is exactly one person between C and B. Since C is on Friday, B could be on Wednesday (Friday - 2 days) or Sunday (Friday + 2 days).
We are also told B does not play on Sunday.
Therefore, B must play on Wednesday.
Current Schedule:
- Monday:
- Tuesday:
- Wednesday: B
- Thursday:
- Friday: C
- Saturday:
- Sunday:
Step 3: Place A and D
A plays immediately before D, forming an 'AD' block. D does not play on Sunday.
Possible slots for the 'AD' block, considering B is on Wednesday and C is on Friday:
- Monday/Tuesday: Possible.
- Tuesday/Wednesday: Not possible (B is on Wednesday).
- Wednesday/Thursday: Not possible (B is on Wednesday).
- Thursday/Friday: Not possible (C is on Friday).
- Saturday/Sunday: Not possible (D cannot be on Sunday).
The only valid placement for 'AD' is Monday and Tuesday.
Current Schedule:
- Monday: A
- Tuesday: D
- Wednesday: B
- Thursday:
- Friday: C
- Saturday:
- Sunday:
Step 4: Place G and F
F plays immediately after G, forming a 'GF' block.
The remaining days are Thursday, Saturday, and Sunday.
The only consecutive available days for the 'GF' block are Saturday and Sunday.
Therefore, G plays on Saturday and F plays on Sunday.
Current Schedule:
- Monday: A
- Tuesday: D
- Wednesday: B
- Thursday:
- Friday: C
- Saturday: G
- Sunday: F
Step 5: Determine E's Day
The only person left is E, and the only day left is Thursday.
Final Schedule:
- Monday: A
- Tuesday: D
- Wednesday: B
- Thursday: E
- Friday: C
- Saturday: G
- Sunday: F
Thus, E plays the game on Thursday.
Important Questions from Scheduling Puzzle
- P, Q, R, S, T, U and V have an exam on different days of the week starting on Monday and ending on Sunday. Q has an exam on Friday. Exactly 3 people have an exam between R and T, neither of whom has on exam on Sunday. P has an exam immediately after U. V has an exam immediately before T. Who among the following has an exam on Wednesday?
Each of P, Q, R, S, T, U and V has an exam on a different day of a week starting from Monday and ending on Sunday of the same week. V has an exam on Tuesday. Exactly 2 people have an exam between V and P. S has an exam immediately before T, and Q has an exam immediately after R. Only 1 person has an exam between T and R
How many people have an exam before S?Each of P, Q, R, S, T, U and V has an exam on a different day of a week starting from Monday and ending on Sunday of the same week. Only five people have exams between T and Q. U has an exam on Thursday. S has an exam immediately after Q. R has an exam immediately after P. How many people have exams between V and T?
P, Q, R, S, T, U and V have an exam on different days of the week starting on Monday and ending on Sunday. Q has an exam on Wednesday. Exactly 4 people have an exam between T and U, neither of whom has an exam on Monday. R has an exam immediately before S and V has an exam immediately after S. P has an exam immediately before T.
How many people have an exam between P and R?- Each of P, Q, R, S, T, U and V has an exam on a different day of a week starting from Monday and ending on Sunday of the same week. V has an exam on Thursday. Exactly 4 people have their exams between U and Q, neither of whom has an exam on Sunday. T has an exam immediately before S. R does not have an exam on Friday. U does not have an exam after S. How many people have exams after Q?
